Binary Darboux transformations and \(N\)-wave systems in rings (Q1586709)
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scientific article; zbMATH DE number 1535328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Binary Darboux transformations and \(N\)-wave systems in rings |
scientific article; zbMATH DE number 1535328 |
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Binary Darboux transformations and \(N\)-wave systems in rings (English)
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23 November 2000
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This paper deals with the covariance theorems for elementary and binary Darboux transformations in rings. The author extends the definition of the elementary Darboux transformation to an arbitrary number of orthogonal idempotents and proves a covariance theorem for the generalized Zacharov-Shabat (ZS) problems. The author gives examples that generalize the \(N\)-wave system viewed as a zero-curvature condition for the appropriate pair of ZS problems.
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\(N\)-wave system
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elementary Darboux transformation
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binary Darboux transformation
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zero-curvature condition
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